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Finding the Fourth Proportional to 75,771, 113,690.79 and 33,089.67

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Solution

The fourth proportional to 75,771, 113,690.79 and 33,089.67 is: 49,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,771 : 113,690.79 = 33,089.67 : x
  2. Step 2: Convert to fraction form
    75,771/113,690.79 = 33,089.67/x
  3. Step 3: Cross multiply
    75,771x = 113,690.79 × 33,089.67
  4. Step 4: Simplify right side
    75,771x = 3,761,990,723.14
  5. Step 5: Solve for x
    x = 3,761,990,723.14/75,771
  6. Step 6: Final answer
    x = 49,649.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.